How do you graph #f(x)= x ln (x) - x#?

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Answer 1 · 2017-11-11T17:40:58

See below.

No y axis intercepts since #ln(0)# is undefined.

#x# axis intercepts where #y=0#.

#xlnx-x=0#

#xlnx=x=>lnx=1<=>e^1=x#

x axis intercept at #( e , 0 )#

as #x->oo# , #color(white)(88)xlnx-x->oo#

Graph:

graph{y=x(lnx)-x [-10, 10, -5, 5]}